ArticleProceedings of the National Academy of Sciences of the United States of America2009
Signaling gradients in cascades of two-state reaction-diffusion systems.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
What it found
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Who cites it
13 citing papers in PubMed.
- A live-cell biosensor of in vivo receptor tyrosine kinase activity reveals feedback regulation of a developmental gradient.Cell reports · 2025Article
- Quantifying Information of Dynamical Biochemical Reaction Networks.Entropy (Basel, Switzerland) · 2023Article
- Predictive Spatiotemporal Manipulation of Signaling Perturbations Using Optogenetics.Biophysical journal · 2015Article
- Spatial Control of Biochemical Modification Cascades and Pathways.Biophysical journal · 2015Article
- Dynamics and stability of a three-dimensional model of cell signal transduction.Journal of mathematical biology · 2013Article
- Formation of morphogen gradients: local accumulation time.Physical review. E, Statistical, nonlinear, and soft matter physics · 2011Article
- Formation of intracellular concentration landscapes by multisite protein modification.Biophysical journal · 2010Article
- Modelling the Bicoid gradient.Development (Cambridge, England) · 2010Review
- Signalling ballet in space and time.Nature reviews. Molecular cell biology · 2010Review
- Spatio-temporal correlations can drastically change the response of a MAPK pathway.Proceedings of the National Academy of Sciences of the United States of America · 2010Article
- Dynamics of the Dorsal morphogen gradient.Proceedings of the National Academy of Sciences of the United States of America · 2009Article
- Spatially distributed cell signalling.FEBS letters · 2009Review
- Review
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
Biological networks frequently use cascades, generally defined as chain-like arrangements of similar modules. Spatially lumped cascades can serve as noise filters, time-delay, or thresholding elements. The operation and functional capabilities of spatially distributed cascades are much less understood. Motivated by studies of pattern formation in the early Drosophila embryo, we analyze cascades of 2-state reaction-diffusion systems. At each stage within such as a cascade, a diffusible particle is reversibly bound by immobile traps and can be annihilated in both mobile and immobile states. When trapped, these particles drive the next stage by converting mobile particles of a different type from a passive to active form. The cascade initiated by injection of mobile particles into the first stage. We derive analytical expressions for the steady-state concentration profiles of mobile and immobile particles and analyze how the output of a cascade is controlled by properties of the constituent stages.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.